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balu736 [363]
3 years ago
14

Why are the solutions to the proportions 40/8 = x/10 and x/40 = 10/8 the same?

Mathematics
2 answers:
Finger [1]3 years ago
8 0

Answer:

b .

tha answer is b !

romanna [79]3 years ago
4 0

Answer:

Both proportions are equivalent.

Step-by-step explanation:

We have been given two proportions \frac{40}{8}=\frac{x}{10} and \frac{x}{40}=\frac{10}{8}. We are asked to find why the solutions to our given proportions are equal.

We can solve proportions by cross multiplying them.

After cross multiplying our both proportions we will get same equation that is:

40*10=8*x

400=8x

8*x=40*10

8x=400

Since we get same equation after cross multiplying both proportions, therefore, the solutions to the given proportions would be same.

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Rewrite the expression with rational exponents as a radical expression.
Alik [6]

Answer:

\displaystyle 4\sqrt[7]{x^3}

General Formulas and Concepts:

<u>Algebra I</u>

  • Exponential Rule [Root Rewrite]:                                                                        \displaystyle \sqrt[n]{x} = x^{\frac{1}{n}}

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

<em />\displaystyle 4x^\bigg{\frac{3}{7}}<em />

<em />

<u>Step 2: Rewrite</u>

  1. Split:                                                                                                                      \displaystyle 4(x^\bigg{\frac{1}{7}})^3
  2. Rewrite [Exponential Rule - Root Rewrite]:                                                        \displaystyle 4\sqrt[7]{x^3}
3 0
3 years ago
What happened to the size of the equal parts when there were fewer equal part?
cluponka [151]
It kept on decreasing
4 0
3 years ago
Read 2 more answers
when graphing a line, if you use run over rise instead of rise over run, does that change the slope of the line? please help!!
steposvetlana [31]

yes , because run over rise wont give you a valid answer


4 0
3 years ago
A box with a square base and open top must have a volume of 32,000 cm3. find the dimensions of the box that mini- mize the amoun
zmey [24]
Alrighty


squaer base so length=width, nice


v=lwh
but in this case, l=w, so replace l with w
V=w²h

and volume is 32000
32000=w²h


the amount of materials is the surface area
note that there is no top
so
SA=LW+2H(L+W)
L=W so
SA=W²+2H(2W)
SA=W²+4HW

alrighty

we gots
SA=W²+4HW and
32000=W²H

we want to minimize the square foottage
get rid of one of the variables
32000=W²H
solve for H
32000/W²=H
subsitute

SA=W²+4WH
SA=W²+4W(32000/W²)
SA=W²+128000/W

take derivitive to find the minimum
dSA/dW=2W-128000/W²
where does it equal 0?

0=2W-1280000/W²
128000/W²=2W
128000=2W³
64000=W³
40=W

so sub back
32000/W²=H
32000/(40)²=H
32000/(1600)=H
20=H

the box is 20cm height and the width and length are 40cm
7 0
3 years ago
What is the area of this figure? Please help.
Ad libitum [116K]

The area of the composite figure can be found by summing the whole area that made up the figure. Therefore, the area of the figure is 213.5m²

<h3>Area of a composite figure</h3>

The area of the composite figure is the sum of the area of the whole figure.

Therefore, the composite figure can be divided into 2 triangles and two rectangles.

Hence,

area of triangle1 = 1 / 2 × 10 × 13 = 65 m²

area of the triangle2 = 1 / 2 × 15 × 7 = 52.5 m²

area of the rectangle1 = 8 × 3 = 24 m²

area of rectangle2 = 7 × 6 = 42 m²

area of rectangle3 = 5 × 6 = 30 m²

Therefore,

area of the composite figure = 65 + 52.5 + 24 + 42 + 30 = 213.5 meters squared

learn more on area here: brainly.com/question/27744042

#SPJ1

8 0
2 years ago
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